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A MATHEMATICAL PROBLEM, by SAMUEL TAYLOR COLERIDGE Poet's Biography First Line: On a given finite line Last Line: Tis raised upon a. B. The straight, the given line.  
If Pegasus will let thee only ride him, Spurning my clumsy efforts to o'erstride him, Some fresh expedient the Muse will try, And walk on stilts, although she cannot fly. I On a given finite line Which must no way incline; To describe an equi   lateral Tri   A, N, G, E, L, E. Now let A. B. Be the given line Which must no way incline; The great Mathematician Makes this Requisition, That we describe an Equi   lateral Tri   angle on it; Aid us Reason  aid us Wit! II From the centre A. at the distance A. B. Describe the circle B. C. D. At the distance B. A. from B. the centre The round A. C. E. to describe boldly venture. (Third postulate see.) And from the point C. In which the circles make a pother Cutting and slashing one another, Bid the straight lines a journeying go. C. A. C. B. those lines will show To the points, which by A. B. are reckon'd, And postulate the second For Authority ye know. A. B. C. Triumphant shall be An Equilateral Triangle, Not Peter Pindar carp, nor Zoilus can wrangle. III Because the point A. is the centre Of the circle B. C. D. And because the point B. is the centre Of the circular A. C. E. A. C. to A. B. and B. C. to B. A. Harmoniously equal for ever must stay; Then C. A. and B. C. Both extend the kind hand To the basis A. B, Unambitiously join'd in Equality's Band. But to the same powers, when two powers are equal, My mind forebodes the sequel; My mind does some celestial impulse teach, And equalizes each to each. Thus C. A. with B. C. strikes the same sure alliance, That C. A. and B. C. had with A. B. before; And in mutual affiance None attempting to soar Above another, The unanimous three C. A. and B. C. and A. B. All are equal, each to his brother, Preserving the balance of power so true: Ah! the like would the proud Autocratix do! At taxes impending not Britain would tremble, Nor Prussia struggle her fear to dissemble; Nor the Mah'metsprung wight The great Mussulman Would stain his Divan With Urine the softflowing daughter of Fright. IV But rein your stallion in, too daring Nine! Should Empires bloat the scientific line? Or with dishevell'd hair all madly do ye run For transport that your task is done? For done it is  the cause is tried! And Proposition, gentle maid, Who soothly ask'd stern Demonstration's aid, Has prov'd her right, and A. B. C. Of Angles three Is shown to be of equal side; And now our weary steed to rest in fine, 'Tis raised upon A. B. the straight, the given line.  Other Poems of Interest...A DAY DREAM by SAMUEL TAYLOR COLERIDGE A THOUGHT SUGGESTED BY A VIEW, OF SADDLEBACK IN CUMBERLAND by SAMUEL TAYLOR COLERIDGE AN INVOCATION; SONG, FR. REMORSE by SAMUEL TAYLOR COLERIDGE AN ODE TO THE RAIN by SAMUEL TAYLOR COLERIDGE ANSWER TO A CHILD'S QUESTION by SAMUEL TAYLOR COLERIDGE APOLOGIA PRO VITA SUA by SAMUEL TAYLOR COLERIDGE COLOGNE; EPIGRAM by SAMUEL TAYLOR COLERIDGE DEJECTION: AN ODE by SAMUEL TAYLOR COLERIDGE DUTY SURVIVING SELFLOVE; THE ONLY SURE FRIEND OF DECLINING LIFE by SAMUEL TAYLOR COLERIDGE EPITAPH ON HIMSELF by SAMUEL TAYLOR COLERIDGE FANCY IN NUBIBUS; OR, THE POET IN THE CLOUDS by SAMUEL TAYLOR COLERIDGE 
